Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37620a |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
891648 |
Modular degree for the optimal curve |
Δ |
-1.5334119398458E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165048,190162372] |
[a1,a2,a3,a4,a6] |
Generators |
[221:12825:1] |
Generators of the group modulo torsion |
j |
-71936744649449472/2218477922230625 |
j-invariant |
L |
4.5018288463186 |
L(r)(E,1)/r! |
Ω |
0.18467704426883 |
Real period |
R |
2.0313970550326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
37620b2 |
Quadratic twists by: -3 |